Base | Representation |
---|---|
bin | 111011111110100… |
… | …001001010010000 |
3 | 2121010102111221200 |
4 | 323332201022100 |
5 | 4030044310441 |
6 | 243503151200 |
7 | 33635636265 |
oct | 7376411220 |
9 | 2533374850 |
10 | 1006244496 |
11 | 476aa9424 |
12 | 240ba5500 |
13 | 13061555a |
14 | 978d526c |
15 | 5d5167b6 |
hex | 3bfa1290 |
1006244496 has 60 divisors (see below), whose sum is σ = 2819073660. Its totient is φ = 335059200.
The previous prime is 1006244423. The next prime is 1006244513. The reversal of 1006244496 is 6944426001.
1006244496 is a `hidden beast` number, since 100 + 62 + 4 + 4 + 496 = 666.
1006244496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 244484496 + 761760000 = 15636^2 + 27600^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1006244496.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156546 + ... + 162846.
It is an arithmetic number, because the mean of its divisors is an integer number (46984561).
Almost surely, 21006244496 is an apocalyptic number.
1006244496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
1006244496 is an abundant number, since it is smaller than the sum of its proper divisors (1812829164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1006244496 is a wasteful number, since it uses less digits than its factorization.
1006244496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7424 (or 7415 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 1006244496 is about 31721.3570958116. The cubic root of 1006244496 is about 1002.0771809983.
The spelling of 1006244496 in words is "one billion, six million, two hundred forty-four thousand, four hundred ninety-six".
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